107111007050850 has 144 divisors (see below), whose sum is σ = 314134792773984. Its totient is φ = 25949582784000.

The previous prime is 107111007050791. The next prime is 107111007050891. The reversal of 107111007050850 is 58050700111701.

107111007050850 is a `hidden beast` number, since 1 + 0 + 71 + 1 + 10 + 0 + 70 + 508 + 5 + 0 = 666.

It is a super-2 number, since 2×107111007050850² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 720645 + ... + 14654055.

It is an arithmetic number, because the mean of its divisors is an integer number (2181491616486).

Almost surely, 2^{107111007050850} is an apocalyptic number.

107111007050850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 107111007050850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157067396386992).

107111007050850 is an abundant number, since it is smaller than the sum of its proper divisors (207023785723134).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

107111007050850 is a wasteful number, since it uses less digits than its factorization.

107111007050850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13934993 (or 13934985 counting only the distinct ones).

The product of its (nonzero) digits is 9800, while the sum is 36.

The spelling of 107111007050850 in words is "one hundred seven trillion, one hundred eleven billion, seven million, fifty thousand, eight hundred fifty".